Question

SOLVE THIS solve solve
​

Answer 1

Question:

$\sf{Solve \:for \:x\: : \frac{5x}{3}-4=\frac{3x}{5}}$

Solution:

$\because \mathtt{\frac{5x}{3}-4=\frac{3x}{5}}$

$\implies \mathtt{\frac{5x}{3} - \frac{3x}{5}= 4}$

$\implies \mathtt{\frac{25x-9x}{15}= 4}$

$\implies \mathtt{\frac{16x}{15}= 4}$

$\implies \mathtt{16x = 4 \times 15}$

$\implies \mathtt{16x = 60}$

$\implies \mathtt{x = \frac{60}{16}}$

$\implies \mathtt{x = \frac{15}{4}}$

$\implies \mathtt{x = 3\frac{3}{4}}$

$\sf{Hence,\: the\: value\: of \:x = 3\frac{3}{4}}$

Extra Information:

• An equation is a statement of equality which contains one or more unknown variables.
• Methods to slove an equation are:

1. Trial and Error Method
2. Systematic Method
3. Transposition

• Transposition: A process in which a term is moved from one side to the other with no change in its sign is called transposition.